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Charged particle beam transport for a cyclotron facility
We develop a number of new techniques and systems to be used in the design of beamlines for charged particle beam transport. A few of these refer specifically to beamlines to or from a cyclotron, while others may be used in beamlines from any accelerator. In the former category, we develop a method...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2016
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| _version_ | 1867613233874993152 |
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| access_status_str | Open Access |
| author | Merry, Corinne Margaret |
| author2 | Cornell, John |
| author_browse | Cornell, John Merry, Corinne Margaret |
| author_facet | Cornell, John Merry, Corinne Margaret |
| author_sort | Merry, Corinne Margaret |
| collection | Thesis |
| description | We develop a number of new techniques and systems to be used in the design of beamlines for charged particle beam transport. A few of these refer specifically to beamlines to or from a cyclotron, while others may be used in beamlines from any accelerator. In the former category, we develop a method for determining the eigen-ellipsoid in all six dimensions of phase space, when the beam under consideration is to be (a) extracted from a cyclotron, or (b) injected into a cyclotron. We also develop an alternative method to (a) above, which uses the data derived from tracking (i) central momentum particles through the extraction elements of an accelerator in 4-dimensional (x, x´, y, y´) phase space and (ii) a single particle with higher momentum. For this purpose we expand the convenient E-matrix formalism from a 2-dimensional treatment to a 6-dimensional treatment, and relate this to the more usual σ-matrix formalism. We describe the eight possible symmetry types of beams transport systems and examine their group properties. We also examine the second-order aberrations in these systems. We use the symmetry properties to examine various configurations of two quadrupole triplets. This system may be used to achieve unit magnification, as is well known: or variable magnification in one or both of the horizontal or vertical planes, independently of the beam parameters, as we describe. We also develop a system of quadrupoles which may be used for independent horizontal and vertical beam control. We calculate the optimum spacing and field strength of these quadrupoles. Dipole systems which are used to control the dispersed rays are discussed. In particular we consider a system of two quadrupoles between two dipoles: this system has the least number of beamline elements necessary to control the position and direction of the dispersed ray while simultaneously permitting momentum-selection. We discuss the principles of transfer beamline design and illustrate these (and the techniques described above) by reference to the design of a specific transfer beamline between cyclotrons. The design of a specific external beamline is also described and used to illustrate the techniques developed. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/18344 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:52.713Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Physics |
| publisherStr | Department of Physics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/18344 Charged particle beam transport for a cyclotron facility Merry, Corinne Margaret Cornell, John Physics Particle Physics We develop a number of new techniques and systems to be used in the design of beamlines for charged particle beam transport. A few of these refer specifically to beamlines to or from a cyclotron, while others may be used in beamlines from any accelerator. In the former category, we develop a method for determining the eigen-ellipsoid in all six dimensions of phase space, when the beam under consideration is to be (a) extracted from a cyclotron, or (b) injected into a cyclotron. We also develop an alternative method to (a) above, which uses the data derived from tracking (i) central momentum particles through the extraction elements of an accelerator in 4-dimensional (x, x´, y, y´) phase space and (ii) a single particle with higher momentum. For this purpose we expand the convenient E-matrix formalism from a 2-dimensional treatment to a 6-dimensional treatment, and relate this to the more usual σ-matrix formalism. We describe the eight possible symmetry types of beams transport systems and examine their group properties. We also examine the second-order aberrations in these systems. We use the symmetry properties to examine various configurations of two quadrupole triplets. This system may be used to achieve unit magnification, as is well known: or variable magnification in one or both of the horizontal or vertical planes, independently of the beam parameters, as we describe. We also develop a system of quadrupoles which may be used for independent horizontal and vertical beam control. We calculate the optimum spacing and field strength of these quadrupoles. Dipole systems which are used to control the dispersed rays are discussed. In particular we consider a system of two quadrupoles between two dipoles: this system has the least number of beamline elements necessary to control the position and direction of the dispersed ray while simultaneously permitting momentum-selection. We discuss the principles of transfer beamline design and illustrate these (and the techniques described above) by reference to the design of a specific transfer beamline between cyclotrons. The design of a specific external beamline is also described and used to illustrate the techniques developed. 2016-03-28T14:45:02Z 2016-03-28T14:45:02Z 1980 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/18344 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Physics Particle Physics Merry, Corinne Margaret Charged particle beam transport for a cyclotron facility |
| thesis_degree_str | Doctoral |
| title | Charged particle beam transport for a cyclotron facility |
| title_full | Charged particle beam transport for a cyclotron facility |
| title_fullStr | Charged particle beam transport for a cyclotron facility |
| title_full_unstemmed | Charged particle beam transport for a cyclotron facility |
| title_short | Charged particle beam transport for a cyclotron facility |
| title_sort | charged particle beam transport for a cyclotron facility |
| topic | Physics Particle Physics |
| url | http://hdl.handle.net/11427/18344 |
| work_keys_str_mv | AT merrycorinnemargaret chargedparticlebeamtransportforacyclotronfacility |